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![🔢 Maths டிப்ஸ் & ட்ரிக்ஸ் - MATHEMATICS FORMULAS Follllula ' Descriptlon V= 3Bh Pyramid Volumo ofa right cone and 1 = Bh' Volume cylinder and pnsm Volume V = 3*r3 sphere 2-2 Sunace area ola cylinder ' Zrm 4-/~ sphore lgacc JrotOt? Lateral surface area 01 right cone A = Tr1r + 7 = Tri S = 2[2a + (గ - 1)d] = 2 (a + aన Sum ol an arlhmelic series 21 - ٢ Osudharsan finile geamelric senes Sum ol . ar"= 127 , |r| <1 Sum of an infinite geomelric senes sin 4 = Sil B = sin ಡ Law of sines ' C2 = a2 + 02 Zab cos Law of cosines | (y- k) = ,2' *-1]-+` Equation ' circle parabola (k) = 4cx _ h)ಂ Equation 0l [152)2= 1 [x -h1)2 Equation oran ellipse 142 - 1 Lx=hl2 Equation of a hperbola MATHEMATICS FORMULAS Follllula ' Descriptlon V= 3Bh Pyramid Volumo ofa right cone and 1 = Bh' Volume cylinder and pnsm Volume V = 3*r3 sphere 2-2 Sunace area ola cylinder ' Zrm 4-/~ sphore lgacc JrotOt? Lateral surface area 01 right cone A = Tr1r + 7 = Tri S = 2[2a + (గ - 1)d] = 2 (a + aన Sum ol an arlhmelic series 21 - ٢ Osudharsan finile geamelric senes Sum ol . ar"= 127 , |r| <1 Sum of an infinite geomelric senes sin 4 = Sil B = sin ಡ Law of sines ' C2 = a2 + 02 Zab cos Law of cosines | (y- k) = ,2' *-1]-+` Equation ' circle parabola (k) = 4cx _ h)ಂ Equation 0l [152)2= 1 [x -h1)2 Equation oran ellipse 142 - 1 Lx=hl2 Equation of a hperbola - ShareChat](https://cdn4.sharechat.com/bd5223f_s1w/compressed_gm_40_img_512347_1a284d5c_1772959366595_sc.jpg?tenant=sc&referrer=user-profile-service%2FrequestType50&f=595_sc.jpg "🔢 Maths டிப்ஸ் & ட்ரிக்ஸ் - MATHEMATICS FORMULAS Follllula ' Descriptlon V= 3Bh Pyramid Volumo ofa right cone and 1 = Bh' Volume cylinder and pnsm Volume V = 3*r3 sphere 2-2 Sunace area ola cylinder ' Zrm 4-/~ sphore lgacc JrotOt? Lateral surface area 01 right cone A = Tr1r + 7 = Tri S = 2[2a + (గ - 1)d] = 2 (a + aన Sum ol an arlhmelic series 21 - ٢ Osudharsan finile geamelric senes Sum ol . ar\"= 127 , |r| <1 Sum of an infinite geomelric senes sin 4 = Sil B = sin ಡ Law of sines ' C2 = a2 + 02 Zab cos Law of cosines | (y- k) = ,2' *-1]-+` Equation ' circle parabola (k) = 4cx _ h)ಂ Equation 0l [152)2= 1 [x -h1)2 Equation oran ellipse 142 - 1 Lx=hl2 Equation of a hperbola MATHEMATICS FORMULAS Follllula ' Descriptlon V= 3Bh Pyramid Volumo ofa right cone and 1 = Bh' Volume cylinder and pnsm Volume V = 3*r3 sphere 2-2 Sunace area ola cylinder ' Zrm 4-/~ sphore lgacc JrotOt? Lateral surface area 01 right cone A = Tr1r + 7 = Tri S = 2[2a + (గ - 1)d] = 2 (a + aన Sum ol an arlhmelic series 21 - ٢ Osudharsan finile geamelric senes Sum ol . ar\"= 127 , |r| <1 Sum of an infinite geomelric senes sin 4 = Sil B = sin ಡ Law of sines ' C2 = a2 + 02 Zab cos Law of cosines | (y- k) = ,2' *-1]-+` Equation ' circle parabola (k) = 4cx _ h)ಂ Equation 0l [152)2= 1 [x -h1)2 Equation oran ellipse 142 - 1 Lx=hl2 Equation of a hperbola - ShareChat")
![🤔 Unknown Facts - Adding Integers 1 acd negativel-) integers move to the left Example 5+ (-2] = < 2 () 4 -6 -5 -4 -3 -2 5 + (-2) = 3 ் aqd posiTivel +I infegers move To the right Example (-4) +5 0 1 2 3 -4 -3 -2-1 (4) + 5 = ] @sudharsan #1 Rulc #1 (-8) + (-8)= If the integers all have 8+8=14 the same sign add & =-14 keep that sign Rule #२ If the integers have different signs subtract (-7] + (5)= the absolute value |7/-|5/= 2 keep the sicn of ancl (7is the greatest integer] the greatest integer 2 Adding Integers 1 acd negativel-) integers move to the left Example 5+ (-2] = < 2 () 4 -6 -5 -4 -3 -2 5 + (-2) = 3 ் aqd posiTivel +I infegers move To the right Example (-4) +5 0 1 2 3 -4 -3 -2-1 (4) + 5 = ] @sudharsan #1 Rulc #1 (-8) + (-8)= If the integers all have 8+8=14 the same sign add & =-14 keep that sign Rule #२ If the integers have different signs subtract (-7] + (5)= the absolute value |7/-|5/= 2 keep the sicn of ancl (7is the greatest integer] the greatest integer 2 - ShareChat](https://cdn4.sharechat.com/bd5223f_s1w/compressed_gm_40_img_149486_2b04a31_1772959142587_sc.jpg?tenant=sc&referrer=user-profile-service%2FrequestType50&f=587_sc.jpg "🤔 Unknown Facts - Adding Integers 1 acd negativel-) integers move to the left Example 5+ (-2] = < 2 () 4 -6 -5 -4 -3 -2 5 + (-2) = 3 ் aqd posiTivel +I infegers move To the right Example (-4) +5 0 1 2 3 -4 -3 -2-1 (4) + 5 = ] @sudharsan #1 Rulc #1 (-8) + (-8)= If the integers all have 8+8=14 the same sign add & =-14 keep that sign Rule #२ If the integers have different signs subtract (-7] + (5)= the absolute value |7/-|5/= 2 keep the sicn of ancl (7is the greatest integer] the greatest integer 2 Adding Integers 1 acd negativel-) integers move to the left Example 5+ (-2] = < 2 () 4 -6 -5 -4 -3 -2 5 + (-2) = 3 ் aqd posiTivel +I infegers move To the right Example (-4) +5 0 1 2 3 -4 -3 -2-1 (4) + 5 = ] @sudharsan #1 Rulc #1 (-8) + (-8)= If the integers all have 8+8=14 the same sign add & =-14 keep that sign Rule #२ If the integers have different signs subtract (-7] + (5)= the absolute value |7/-|5/= 2 keep the sicn of ancl (7is the greatest integer] the greatest integer 2 - ShareChat")
![🔢 Maths டிப்ஸ் & ட்ரிக்ஸ் - Statistics] 12.3.4.5,6.7 O(ean 1+2+3+4+5+6+7 28 Sum of numbers divided २८ 7 = 4 by total numpers CMedian 3,8,2,6,7,9 2,3,6,7,8,9 Arrange in ascending or Median = (6+71/2 descending order and pick thet =13/2=6.5 mid Value @sudharsan Code 5,6,3835,3 Pick the most Mode= 3 common numper 99 Range | 8,5,8,3,9,2,6 Difference belueen highest anq lowest vuber Range = 9-2 =7 Statistics] 12.3.4.5,6.7 O(ean 1+2+3+4+5+6+7 28 Sum of numbers divided २८ 7 = 4 by total numpers CMedian 3,8,2,6,7,9 2,3,6,7,8,9 Arrange in ascending or Median = (6+71/2 descending order and pick thet =13/2=6.5 mid Value @sudharsan Code 5,6,3835,3 Pick the most Mode= 3 common numper 99 Range | 8,5,8,3,9,2,6 Difference belueen highest anq lowest vuber Range = 9-2 =7 - ShareChat](https://cdn4.sharechat.com/bd5223f_s1w/compressed_gm_40_img_18191_6cd37fa_1772959016245_sc.jpg?tenant=sc&referrer=user-profile-service%2FrequestType50&f=245_sc.jpg "🔢 Maths டிப்ஸ் & ட்ரிக்ஸ் - Statistics] 12.3.4.5,6.7 O(ean 1+2+3+4+5+6+7 28 Sum of numbers divided २८ 7 = 4 by total numpers CMedian 3,8,2,6,7,9 2,3,6,7,8,9 Arrange in ascending or Median = (6+71/2 descending order and pick thet =13/2=6.5 mid Value @sudharsan Code 5,6,3835,3 Pick the most Mode= 3 common numper 99 Range | 8,5,8,3,9,2,6 Difference belueen highest anq lowest vuber Range = 9-2 =7 Statistics] 12.3.4.5,6.7 O(ean 1+2+3+4+5+6+7 28 Sum of numbers divided २८ 7 = 4 by total numpers CMedian 3,8,2,6,7,9 2,3,6,7,8,9 Arrange in ascending or Median = (6+71/2 descending order and pick thet =13/2=6.5 mid Value @sudharsan Code 5,6,3835,3 Pick the most Mode= 3 common numper 99 Range | 8,5,8,3,9,2,6 Difference belueen highest anq lowest vuber Range = 9-2 =7 - ShareChat")
![🤔 Unknown Facts - Lactorring GREATEST CONMON FACTOR greares+ Factor The GCF #haF divides evenly into all tefms 15-7= 56Y" = 7x^ (1+8). 7x*93 3#(*+1) (61''3x Eramplel ೧ ma A $ [C T2 TNOMT AL bx rC Lhere 0 wnu mulipiieg +0' ondodds 1o D2 Dx /*+0*~9 (7= )0%+ ]0 ೦x` "b% 0(4 ~0% eumplc c+7x 10-(*5)(*2 cramplc: X , 24 -15 ('37 5 E1೪/4ಗ೩೩ ೩ ೮೩1 ಭ14, 10 21 -- na -- OTHER TrinoMIALS @sudharsan] 27+13>+15 Splir n Inenr term: ٥ ಅ215' ೨0 Hultipl <3 Wnat muliplics 10 (c) md odds 10 ೯೬` பnn D (2x3 Tnrile 'u0 1rms "rm 94 104 uairg *ವd3e (272 Factor by grouping +5~)+(1!0/+15)=-(2++3)=5(2**5) fnc*or 0u ine GCe (3**3(*5 PEC1AL CA$=$ SUNOF SOUARES DTFTERENCE OF SOUARLS 0*-6? (0 6 (೩೦0) ೪೦೬ *9* (+9)(*9 (*9* (1'3)2 Kumples*-IG' ப-(+3)(/+3) ewamplei X1 + @X 7 C1" Fles [3*-7)(87*7) 7 10 UND 0: F01L First Ovrer 5) = 242 +5x +@x+ 15 3 )(2x c1mple Enner' -[2+7 +1|*+15 057 Lactorring GREATEST CONMON FACTOR greares+ Factor The GCF #haF divides evenly into all tefms 15-7= 56Y" = 7x^ (1+8). 7x*93 3#(*+1) (61''3x Eramplel ೧ ma A $ [C T2 TNOMT AL bx rC Lhere 0 wnu mulipiieg +0' ondodds 1o D2 Dx /*+0*~9 (7= )0%+ ]0 ೦x` "b% 0(4 ~0% eumplc c+7x 10-(*5)(*2 cramplc: X , 24 -15 ('37 5 E1೪/4ಗ೩೩ ೩ ೮೩1 ಭ14, 10 21 -- na -- OTHER TrinoMIALS @sudharsan] 27+13>+15 Splir n Inenr term: ٥ ಅ215' ೨0 Hultipl <3 Wnat muliplics 10 (c) md odds 10 ೯೬` பnn D (2x3 Tnrile 'u0 1rms "rm 94 104 uairg *ವd3e (272 Factor by grouping +5~)+(1!0/+15)=-(2++3)=5(2**5) fnc*or 0u ine GCe (3**3(*5 PEC1AL CA$=$ SUNOF SOUARES DTFTERENCE OF SOUARLS 0*-6? (0 6 (೩೦0) ೪೦೬ *9* (+9)(*9 (*9* (1'3)2 Kumples*-IG' ப-(+3)(/+3) ewamplei X1 + @X 7 C1" Fles [3*-7)(87*7) 7 10 UND 0: F01L First Ovrer 5) = 242 +5x +@x+ 15 3 )(2x c1mple Enner' -[2+7 +1|*+15 057 - ShareChat](https://cdn4.sharechat.com/bd5223f_s1w/compressed_gm_40_img_977788_24c31045_1772958974973_sc.jpg?tenant=sc&referrer=user-profile-service%2FrequestType50&f=973_sc.jpg "🤔 Unknown Facts - Lactorring GREATEST CONMON FACTOR greares+ Factor The GCF #haF divides evenly into all tefms 15-7= 56Y\" = 7x^ (1+8). 7x*93 3#(*+1) (61''3x Eramplel ೧ ma A $ [C T2 TNOMT AL bx rC Lhere 0 wnu mulipiieg +0' ondodds 1o D2 Dx /*+0*~9 (7= )0%+ ]0 ೦x` \"b% 0(4 ~0% eumplc c+7x 10-(*5)(*2 cramplc: X , 24 -15 ('37 5 E1೪/4ಗ೩೩ ೩ ೮೩1 ಭ14, 10 21 -- na -- OTHER TrinoMIALS @sudharsan] 27+13>+15 Splir n Inenr term: ٥ ಅ215' ೨0 Hultipl <3 Wnat muliplics 10 (c) md odds 10 ೯೬` பnn D (2x3 Tnrile 'u0 1rms \"rm 94 104 uairg *ವd3e (272 Factor by grouping +5~)+(1!0/+15)=-(2++3)=5(2**5) fnc*or 0u ine GCe (3**3(*5 PEC1AL CA$=$ SUNOF SOUARES DTFTERENCE OF SOUARLS 0*-6? (0 6 (೩೦0) ೪೦೬ *9* (+9)(*9 (*9* (1'3)2 Kumples*-IG' ப-(+3)(/+3) ewamplei X1 + @X 7 C1\" Fles [3*-7)(87*7) 7 10 UND 0: F01L First Ovrer 5) = 242 +5x +@x+ 15 3 )(2x c1mple Enner' -[2+7 +1|*+15 057 Lactorring GREATEST CONMON FACTOR greares+ Factor The GCF #haF divides evenly into all tefms 15-7= 56Y\" = 7x^ (1+8). 7x*93 3#(*+1) (61''3x Eramplel ೧ ma A $ [C T2 TNOMT AL bx rC Lhere 0 wnu mulipiieg +0' ondodds 1o D2 Dx /*+0*~9 (7= )0%+ ]0 ೦x` \"b% 0(4 ~0% eumplc c+7x 10-(*5)(*2 cramplc: X , 24 -15 ('37 5 E1೪/4ಗ೩೩ ೩ ೮೩1 ಭ14, 10 21 -- na -- OTHER TrinoMIALS @sudharsan] 27+13>+15 Splir n Inenr term: ٥ ಅ215' ೨0 Hultipl <3 Wnat muliplics 10 (c) md odds 10 ೯೬` பnn D (2x3 Tnrile 'u0 1rms \"rm 94 104 uairg *ವd3e (272 Factor by grouping +5~)+(1!0/+15)=-(2++3)=5(2**5) fnc*or 0u ine GCe (3**3(*5 PEC1AL CA$=$ SUNOF SOUARES DTFTERENCE OF SOUARLS 0*-6? (0 6 (೩೦0) ೪೦೬ *9* (+9)(*9 (*9* (1'3)2 Kumples*-IG' ப-(+3)(/+3) ewamplei X1 + @X 7 C1\" Fles [3*-7)(87*7) 7 10 UND 0: F01L First Ovrer 5) = 242 +5x +@x+ 15 3 )(2x c1mple Enner' -[2+7 +1|*+15 057 - ShareChat")
![🤔 Unknown Facts - Sine The trigonometric function that is Sin]equal the ratio of the side opposite 0 giuen angle to the hypotemuse Cosine The trigonometric function that is Cos to the ratio of the side adjacent to an equal angle to the hypotenuse acutel Tongent A straight line or plane that | Tan touches a curve or curved surface at a point but if extended does not cross it at that point Cotangent The ratio of the side adjacent Csc particular acute angle to the side opposite 10 0 gf the angle Secant The ratio of the hypotenuset Sec to the shorter side odjocent to on Qcute angle; The reciprocal of a cosine The ratio of the hypotenuset Cosecant Cos to the side opposite an acute angle The reciprocal of sine TERMS OF TRGONOMETRY Sine The trigonometric function that is Sin]equal the ratio of the side opposite 0 giuen angle to the hypotemuse Cosine The trigonometric function that is Cos to the ratio of the side adjacent to an equal angle to the hypotenuse acutel Tongent A straight line or plane that | Tan touches a curve or curved surface at a point but if extended does not cross it at that point Cotangent The ratio of the side adjacent Csc particular acute angle to the side opposite 10 0 gf the angle Secant The ratio of the hypotenuset Sec to the shorter side odjocent to on Qcute angle; The reciprocal of a cosine The ratio of the hypotenuset Cosecant Cos to the side opposite an acute angle The reciprocal of sine TERMS OF TRGONOMETRY - ShareChat](https://cdn4.sharechat.com/bd5223f_s1w/compressed_gm_40_img_580325_37e68e2d_1768403578851_sc.jpg?tenant=sc&referrer=user-profile-service%2FrequestType50&f=851_sc.jpg "🤔 Unknown Facts - Sine The trigonometric function that is Sin]equal the ratio of the side opposite 0 giuen angle to the hypotemuse Cosine The trigonometric function that is Cos to the ratio of the side adjacent to an equal angle to the hypotenuse acutel Tongent A straight line or plane that | Tan touches a curve or curved surface at a point but if extended does not cross it at that point Cotangent The ratio of the side adjacent Csc particular acute angle to the side opposite 10 0 gf the angle Secant The ratio of the hypotenuset Sec to the shorter side odjocent to on Qcute angle; The reciprocal of a cosine The ratio of the hypotenuset Cosecant Cos to the side opposite an acute angle The reciprocal of sine TERMS OF TRGONOMETRY Sine The trigonometric function that is Sin]equal the ratio of the side opposite 0 giuen angle to the hypotemuse Cosine The trigonometric function that is Cos to the ratio of the side adjacent to an equal angle to the hypotenuse acutel Tongent A straight line or plane that | Tan touches a curve or curved surface at a point but if extended does not cross it at that point Cotangent The ratio of the side adjacent Csc particular acute angle to the side opposite 10 0 gf the angle Secant The ratio of the hypotenuset Sec to the shorter side odjocent to on Qcute angle; The reciprocal of a cosine The ratio of the hypotenuset Cosecant Cos to the side opposite an acute angle The reciprocal of sine TERMS OF TRGONOMETRY - ShareChat")